GCF of 2300/228, 7064/2263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2300/228, 7064/2263 i.e 4/515964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2300/228, 7064/2263.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2300/228,7064/2263?
Given fractions are 2300/228,7064/2263
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2300/228,7064/2263, numerators are 2300,7064
Denominators are 228,2263
The GCF of 2300,7064 is 4 .
LCM of 228,2263 is 515964.
The greatest common factor of 2300/228,7064/2263 = [GCF of 2300,7064]/[LCM of 228,2263]= 4/515964
Therefore, the GCF of 2300/228,7064/2263 is 4/515964.
To find the highest common factor of 2300,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 2300 are 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 2300,7064 is 4.
Lets's calculate GCF of 2300,7064
| 2 | 2300, 7064 |
| 2 | 1150, 3532 |
| 575, 1766 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2300,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 2300
:1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 2300,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 2300,7064 is 4.
Lets's calculate LCM of 228,2263
Given numbers has no common factors except 1. So, there LCM is their product i.e 515964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/515964
Therefore, the GCF of Fractions 2300/228,7064/2263 is 4/515964
Least Common Multiple of 228,2263 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 228,2263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,2263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,2263) x common factors =1 x 1 = 1
LCM(228,2263) = ( 228 × 2263 ) / 1
LCM(228,2263) = 515964 / 1
LCM(228,2263) = 515964
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FAQs on GCF of Fractions of 2300/228, 7064/2263
1. What is the HCF of 2300,7064?
The HCF of 2300,7064 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2300/228, 7064/2263?
Answer: GCF of Numerators as per given numbers 2300/228, 7064/2263 is
GCF of Numerators i.e. for 2300,7064 is 4
LCM of denominators i.e. for 228,2263 is 515964.
Thus, GCF of Fractions is 4/515964.Finally, GCF of Fractions for 2300/228, 7064/2263 is 4/515964.